Home
Class 12
MATHS
If f(x)=(3x+2)/(5x-3), then :...

If `f(x)=(3x+2)/(5x-3)`, then :

A

`f^-1(x) = f(x)`

B

`f^-1(x) = -f(x)`

C

(fof)x = -x

D

`f^-1(x) = 1/19f(x)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS AND EXPRESSION

    HIMALAYA PUBLICATION|Exercise Question Bank|129 Videos
  • STATISTICS MEASURE OF DIPERSION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|28 Videos

Similar Questions

Explore conceptually related problems

If f(x)=(3x+2)/(5x-3),x inR-{(3)/(5)} , then :

Show that if f : R - {7/5} to R - {3/5} is defined by f(x) = (3x + 4)/(5x - 7) and g : R - {3/5} to R - {7/5} is defined by g(x) = (7x + 4)/(5x - 3) , then fog = I_(A) and gof = I_(n) , where A = R - {3/5}, B = R - {7/5}, I_(A) (x) = x, AA x in A, I_(B) (x) = x, AA x in B are called identify function on sets A and B, respectively.

For real x, let f(x)=x^(3)+5x+1, , then :

If f(x) = 3x^(2) + 15x + 5, then the approximate value of f (3.02) is

If f (x) is defined [-2, 2] by f(x)=4x^(2)-3x+1 and g(x)=(f(-x)-f(x))/((x^(2)+3)) , then int_(-2)^(2)g(x)dx=

If f(x)=3 x-5 , then f^(-1)(x)=

If f(x)={{:((3sin pi x)/(5x)", "x !=0),(2K" , " x=0):} is continuous at x=0 , then the value of K is

HIMALAYA PUBLICATION-SETS,RELATIONS AND FUNCTIONS-QUESTION BANK
  1. Let f : R rarr R be a function defined by f(x) = x^3 + 5. Then f^-1(x)...

    Text Solution

    |

  2. Let f: A rarr B and g : B rarr C be the bijective funtions. Then (gof...

    Text Solution

    |

  3. If f(x)=(3x+2)/(5x-3), then :

    Text Solution

    |

  4. Let,f : [0,1] rarr [0, 1] be defined by f(x) = {(x, if x \ is \ rat...

    Text Solution

    |

  5. Let f : [2, oo) rarr R be the function defined by f(x) = x^2-4x+5. The...

    Text Solution

    |

  6. Let, f: N rarr R be the function defined by f(x) = (2x-1)/(2) and g : ...

    Text Solution

    |

  7. Let f: RrarrR be defined by f(x)={(2x , xgt3),(x^(2), 1ltxle3),(2x,xle...

    Text Solution

    |

  8. Let, f : R rarr R be given by f(x) = tan x. Then f^-1(1)=

    Text Solution

    |

  9. If a set has n elements then the total number of subsets of A is

    Text Solution

    |

  10. The number of non empty subsets of the set {1,2,3,4} is

    Text Solution

    |

  11. If A={1,2,3,4,5}, then the number of proper subsets of A is

    Text Solution

    |

  12. Sets A and B have 3 and 6 elements respectively. What can be the minim...

    Text Solution

    |

  13. If the sets A has p elements, B has q elements, then number of element...

    Text Solution

    |

  14. If A={a,b,c}, B={b,c,d} and C={a,d,c}, then (A-B)xx (B nn C)=

    Text Solution

    |

  15. If A ,B and C be three sets such that A uu B = A uu C and A nn B =A nn...

    Text Solution

    |

  16. Let R= {(1,3), (4, 2), (2, 4), (2, 3) , (3, 1)} be a relation on the s...

    Text Solution

    |

  17. Let W denote the words in the English dictionary. Define the relation ...

    Text Solution

    |

  18. If A = {x:x^2-5x+6=0}, B = {2, 4}, C = {4, 5}, then Axx(B nn C) =

    Text Solution

    |

  19. If two sets A and B are having 99 elements in common, then the number ...

    Text Solution

    |

  20. Consider n(U)=20 , n (A) =12, n(B)=9, n(A nn B) =4, where U is the uni...

    Text Solution

    |